151
151

Feb 6, 2009
02/09

by
Klein, Felix, 1849-1925; Ritter, E., ed

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Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.

Topic: Hypergeometric functions

Source: http://books.google.com/books?id=oPE3AAAAMAAJ&oe=UTF-8

Journal of Research of the National Bureau of Standards

Topics: Bessel functions, confluent hypergeometric functions, electronic energies, indefinite integrals

271
271

Jun 18, 2010
06/10

by
Pincherle, S

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Theory of hypergeometric functions based on principles of analytic function hypothesis

Topics: ANALYTIC FUNCTIONS, HYPERGEOMETRIC FUNCTIONS, HYPERSPACES, HYPOTHESES, ANALYTIC FUNCTION,...

266
266

Jun 21, 2010
06/10

by
NON

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Partial inertial system integration tests, automatic lens design, and vibration and shock analyses of electrostatic gyroscope

Topics: APPROXIMATION, COMPUTATION, HYPERGEOMETRIC FUNCTIONS, SERIES (MATHEMATICS), TRANSCENDENTAL...

Ian N. Sneddon Special Functions of Mathematical Physics and Chemistry Oliver & Boyd 1961 Acrobat 7 Pdf 19.0 Mb. Scanned by artmisa using Canon DR2580C + flatbed option

Topics: Mathematics, Hypergeometric Functions, Legendre Functions, Bessel Functions, Ber, Bei, Hermite...

196
196

May 31, 2011
05/11

by
Freed, Alan D.; Leonov, Arkady I

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The present series of three consecutive papers develops a general theory for linear and finite solid viscoelasticity. Because the most important object for nonlinear studies are rubber-like materials, the general approach is specified in a form convenient for solving problems important for many industries that involve rubber-like materials. General linear and nonlinear theories for non-isothermal deformations of viscoelastic solids are developed based on the quasi-linear approach of...

Topics: KINETIC ENERGY, POLYATOMIC MOLECULES, VIBRATION, COORDINATES, VECTORS (MATHEMATICS), OPERATORS...

Journal of Research of the National Bureau of Standards

Topics: Confluent hypergeometric functions, droplet, moving boundary problem, preheat, transient heat...

The use of the theta-operator method and generalized hypergeometric functions in obtaining solutions to nth-order linear ordinary differential equations is explained. For completeness, the analysis of the differential equation to determine whether the point of expansion is an ordinary point or a regular singular point is included. The superiority of the two methods shown over the standard method is demonstrated by using all three of the methods to work out several examples. Also included is a...

Topics: NASA Technical Reports Server (NTRS), DIFFERENTIAL EQUATIONS, SERIES (MATHEMATICS), FACTORIALS,...

Our interest lies in describing the zero behaviour of Gauss hypergeometric polynomials F(-n, b; c; z) where b and c are arbitrary parameters. In general, this problem has not been solved and even when b and c are both real, the only cases that have been fully analyzed impose additional restrictions on b and c. We review recent results that have been proved for the zeros of several classes of hypergeometric polynomials F(-n, b; c; z) where b and c are real. We show that the number of real zeros...

Topics: DTIC Archive, Driver, K., Jordaan, K., UNIVERSITY OF THE WITWATERSRAND JOHANNESBURG (SOUTH AFRICA)...

204
204

Jul 25, 2010
07/10

by
Kim, Namsoo P.; Stanbery, Billy J.; Gale, Ronald P.; Mcclelland, Robert W

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The tandem cells consisting of GaAs single crystal and CuInSe2 polycrystalline thin films are being developed under the joint program of the Boeing Co. and Kopin Corp. to meet the increasing power needs for future spacecraft. The updated status of this program is presented along with experimental results such as cell performance, and radiation resistance. Other cell characteristics including the specific power of and the interconnect options for this tandem cell approach are also discussed.

Topics: COMPUTATIONAL FLUID DYNAMICS, REYNOLDS NUMBER, SPHERICAL HARMONICS, THREE DIMENSIONAL MODELS,...

0
0.0

Jul 29, 2016
07/16

by
NASA Technical Reports Server (NTRS)

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A boundary value problem for the Tricomi equation was studied in connection with transonic gas dynamics. The transformed equation delta u plus 1/3Y u sub Y equals 0 in canonical coordinates was considered in the complex domain of two independent complex variables. A boundary value problem was then set by prescribing the real part of the solution on the boundary of the real unit circle. The Dirichlet problem in the upper unit semicircle with vanishing values of the solution at Y = 0 was solved...

Topics: NASA Technical Reports Server (NTRS), BOUNDARY VALUE PROBLEMS, GAS DYNAMICS, TRANSONIC FLOW,...

A prediction-interval approach and an assumption of a Gaussian manufacturing process are used to derive a variables sampling plan applicable to finite lots required to be of very high quality. Values tabulated for calculating acceptance regions are such that, with high probability, accepted lots will have zero defects. Further, tables are given for selecting sample size for a specified combination of lot size and acceptable quality level. Comparisons show that, for a fixed risk level,...

Topics: DTIC Archive, Fertig, Kenneth W., Mann, Nancy R., ROCKETDYNE CANOGA PARK CA, *SAMPLING, *QUALITY...

These notes were written for an introductory course in probability and statistics at the post-calculus level that was presented during the fall term of 1974 to students in the Rand Graduate Institute. Most of the material is devoted to the basic concepts of probability theory that are prerequisite to learning mathematical statistics: probability models, random variables, expectation and variance, joint distributions, conditioning, correlation, and sampling theory. Among the distributions...

Topics: DTIC Archive, Haggstrom, Gus W, RAND CORP SANTA MONICA CA, *PROBABILITY, *STATISTICAL ANALYSIS,...

A simple proof by functional equations is given for Ramanujan's sub 1 psi sub 1 sum. Ramanujan's sum is a useful extension of Jacobi's triple product formula, and has recently become important in the treatment of certain orthogonal polynomials defined by basic hypergeometric series. (Author)

Topics: DTIC Archive, Andrews,George E, Askey,Richard, WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER,...

711
711

Jul 12, 2010
07/10

by
NON

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Spaceborne experiments using the space shuttle payload known as the Long Duration Exposure Facility are described. Experiments in the fields of materials, coatings, thermal systems, power and propulsion, electronic, and optics are discussed.

Topics: ABLATION, HYPERGEOMETRIC FUNCTIONS, MONTE CARLO METHOD, RESONANCE, SCATTERING CROSS SECTIONS,...

This is a sequel to a previous paper where rational approximations for the confluent hypergeometric function were treated. Here we take up rational approximations for (1)F(1)(a;c;-z). The confluent functions are very important in the applications since they include as special cases the incomplete gamma function Bessel functions, parabolic cylinder functions and Coulomb wave functions. In the special case where a is unity, the confluent function becomes an incomplete gamma function. In this...

Topics: DTIC Archive, Luke,Yudell L, MISSOURI UNIV KANSAS CITY DEPT OF MATHEMATICS, *HYPERGEOMETRIC...

From the bitsavers.org collection, a scanned-in computer-related document.mit :: ai :: aim :: AIM-196

Topics: functions, integral, hypergeometric, series, hgf, slater, function, analytic, continuation,...

5,299
5.3K

Feb 18, 2010
02/10

by
MIT OpenCourseWare

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This course covers the fundamentals of astrodynamics, focusing on the two-body orbital initial-value and boundary-value problems with applications to space vehicle navigation and guidance for lunar and planetary missions, including both powered flight and midcourse maneuvers. Other topics include celestial mechanics, Kepler's problem, Lambert's problem, orbit determination, multi-body methods, mission planning, and recursive algorithms for space navigation. Selected applications from the...

Topics: space navigation, two body problem, boundary value problem, Kepler, astrodynamics, orbital...